303903972 has 72 divisors (see below), whose sum is σ = 794976000. Its totient is φ = 97822080.

The previous prime is 303903953. The next prime is 303903973. The reversal of 303903972 is 279309303.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (303903973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151029 + ... + 153027.

Almost surely, 2^303903972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303903972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397488000).

303903972 is an abundant number, since it is smaller than the sum of its proper divisors (491072028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

303903972 is a wasteful number, since it uses less digits than its factorization.

303903972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 303903972 is about 17432.8417648988. The cubic root of 303903972 is about 672.3242748305.

The spelling of 303903972 in words is "three hundred three million, nine hundred three thousand, nine hundred seventy-two".